23111 ÷ 4 = 5777 R3
Alright, let's work through the division of 23111 by 4 step by step.

Step 1:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 2:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 20 from 23 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 3:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 4:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 577
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 5:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 5777
Subtract 28 from 31 to get 3.

The final result is 5777 with a remainder of 3.